Parallel Lines
Lines in a plane that do not intersect or touch each other at any point i.e distance between two lines is always equal are said to be parallel lines. The symbol for “parallel to” is ||.Here you will get help to understand Type Of Angle Made By Parallel Lines Cut By Transversal with basic concepts, examples, etc.
TYPES OF ANGLE MADE BY PARALLEL LINES CUT BY TRANSVERSAL
When any two parallel lines are cut by a transversal line. The angles formed are marked as ∠1, ∠2, ∠3, ∠4, ∠5, ∠6, ∠7, ∠8. you can understand it by seeing image below where lines P & lines Q are parallel to each other & line O is transversal line.
Here, P and Q are two parallel lines and O is transversal line.
Note:
Type Of Angle Made By Parallel Lines Cut By Transversal Line
From the above image:
Types of Angles |
Angles |
Interior Angles |
∠3, ∠4, ∠5, ∠6 |
Exterior Angles |
∠1, ∠2, ∠7, ∠8 |
Vertically opposite Angles |
(∠1, ∠3), (∠2, ∠4), (∠5, ∠7), (∠6, ∠8) |
Corresponding Angles |
(∠1, ∠5), (∠2, ∠6), (∠3, ∠7), (∠4, ∠8) |
Alternate Interior Angles |
(∠3, ∠5), (∠4, ∠6) |
Alternate Exterior Angles |
(∠1, ∠7), (∠2, ∠8) |
Consecutive interior angles |
(∠3, ∠6), (∠4, ∠5) |
Properties of Parallel Lines
If two parallel lines are cut by a transversal, then
• Corresponding angles is equal.
(∠1 = ∠5), (∠2 = ∠6), (∠3 = ∠7), (∠4 = ∠8)
• Alternate Interior Angles are equal.
(∠3 = ∠5), (∠4 = ∠6)
• Alternate Exterior Angles are equal
(∠1 = ∠7), (∠2 = ∠8)
• Consecutive Interior Angles are supplementary.
∠3 + ∠6 = 180 , ∠4 + ∠5= 180
Note:
• The F-shape shows corresponding angles.
• The Z-shape shows alternate interior angles.
• The angles that fall on the same sides of a transversal and between the parallels is called corresponding angles.
• The angles that fall on alternate sides of a transversal and between the parallels is called alternate exterior angles.
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